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Finding the Third Proportional to 138,948 and 215,287

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Solution

The third proportional to 138,948 and 215,287 is: 333,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,948 : 215,287 = 215,287 : x
  2. Step 2: Convert to fraction form
    138,948/215,287 = 215,287/x
  3. Step 3: Cross multiply
    138,948x = 215,287 × 215,287
  4. Step 4: Simplify right side
    138,948x = 46,348,492,369
  5. Step 5: Solve for x
    x = 46,348,492,369/138,948
  6. Step 6: Final answer
    x = 333,567.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.